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Beyond the Poisson renewal process: A tutorial survey |
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| Authors: | Francesco Mainardi Rudolf Gorenflo Alessandro Vivoli |
| Institution: | 1. Department of Physics, University of Bologna and INFN, Via Irnerio 46, I-40126 Bologna, Italy;2. Department of Mathematics and Informatics, Free University of Berlin, Arnimallee 2-6, D-14195 Berlin, Germany |
| Abstract: | After sketching the basic principles of renewal theory and recalling the classical Poisson process, we discuss two renewal processes characterized by waiting time laws with the same power asymptotics defined by special functions of Mittag–Leffler and of Wright type. We compare these three processes with each other. |
| Keywords: | 26A33 33E12 45K05 47G30 60K05 60K25 60G50 60G51 60G55 |
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